Virtual Instrument for Weak Signal Detecting on Monostable Stochastic Resonance

Abstract:

Stochastic resonance (SR) is a nonlinear phenomenon which can be used to detect weak signal. The theory of SR in a biased mono-stable system driven by multiplicative and additive white noise as well as a weak periodic signal is investigated. The virtual instrument (VI) for weak signal detecting based on this theory is designed with LabVIEW. This instrument can be used to detect weak periodic signals which meets the conditions given and can greatly improved the power spectrum of the weak signal. The results that related to different sets of parameters are given and the features of these results are in accordance with the theory of mono-stable SR. Thus, the application of this theory in the detecting of weak signal is proven to be valid.

• Periodical: Advanced Materials Research (Volume 279)
• Pages: 361-366
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.279.361
• Online since: July 2011
• Authors: Quan Yuan, Yan Shen, Liang Chen
• Keywords: LabVIEW, Mono-Stable System, Stochastic Resonance, Virtual Instrument (VI), Weak Signal Detection

References

[1] R.Benzi, A.Suterai:The mechanism of stochastic resonance Phys,A:Math.Gen14(1981), p.453.

[2] Hu G, Haken H: A study of stochastic resonance without adiabatic approximation Phys. Lett. A Vol. 172 (1992), p.2030.

[3] Hu G, Haken H, Xie FG: Stochastic Resonance with Sensitive Frequency Dependence in Globally Coupled Continuous Systems Phys. Rev. Lett. Vol.77 (1996), p.1925.

DOI: 10.1103/physrevlett.77.1925

[4] McNamara B, Wiesenfild K, Roy R: Observation of Stochastic Resonance in a Ring Laser Phys. Rec. Lett Vol.60 (1988), p.2626.

DOI: 10.1103/physrevlett.60.2626

[5] McNamara B, Wiesenfild K: Theory of stochastic resonance Phys. Rev. A Vol. 39 (1989), p.4854.

[6] G. L, Hanggi P, Marchesoni F: Stochastic resonance Rev Mod Phys Vol.70 (1998), p.223.

[7] Oya T, Asai T, Amemiya Y: Stochastic resonance in an ensemble of single-electron to competitive neural networks Chaos Solitons & Fractals Vol.32 (2007), p.855.

DOI: 10.1016/j.chaos.2005.11.027

[8] Kang YM, Xie Y, Xu JX: Observing nonlinear stochastic resonance with piecewise constant driving forces by the method of momentsChaos Solitons & Fractals Vol.27 (2006), p.715.

DOI: 10.1016/j.chaos.2005.04.043

[9] Jin YF, Xu W, Xu M: Stochastic resonance in an asymmetric bistable system driven by correlated multip and additive noiseChaos Solitons & Fractals Vol.26 (2005), p.1183.

DOI: 10.1016/j.chaos.2005.02.026

[10] Babinec P: Stochastic resonance in an interacting-agent model of stock market Chaos Solitons & Fractals Vol.13 (2002), p.1767.

DOI: 10.1016/s0960-0779(01)00186-2

[11] Dykman MI, Luchinsky DG, McClintock: Stochastic resonance in perspective PVE Nuovo Cimento D Vol.17 (1995),p.661.

DOI: 10.1007/bf02451825

[12] Evstigneev M,Reimann P, Pankov V: Dissipative Enhancement of the Response of a Bistable Noisy Oscillator to External Driving Europhys Lett Vol.65 (1997), p.343.

DOI: 10.1103/physrevlett.88.240201

[13] Guo F, Zhou YR, Jiang SQ: Phys A: Stochastic resonance in a mono-stable system with multiplicative and additive noiseMath Gen Vol.39 (2006), p.13861.

DOI: 10.1088/0305-4470/39/45/002

[14] N.G. Stocks, N.D. Stein: Stochastic resonance in monostable system Phys. A:Math. Gen. Vol.26 (1993) p,385.

[15] Guo F, Gu TX Stochastic Resonance and Its Applications in Weak Signal Detection (2007).